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Finding the Fourth Proportional to 345,914.20, 477,289.02 and 210,019.70

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Solution

The fourth proportional to 345,914.20, 477,289.02 and 210,019.70 is: 289,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,914.20 : 477,289.02 = 210,019.70 : x
  2. Step 2: Convert to fraction form
    345,914.20/477,289.02 = 210,019.70/x
  3. Step 3: Cross multiply
    345,914.20x = 477,289.02 × 210,019.70
  4. Step 4: Simplify right side
    345,914.20x = 100,240,096,793.69
  5. Step 5: Solve for x
    x = 100,240,096,793.69/345,914.20
  6. Step 6: Final answer
    x = 289,783.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.